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 共查询到18条相似文献,搜索用时 46 毫秒
1.
张克军  彭国华 《控制工程》2021,28(6):1179-1186
针对一类具有任意切换规则的分数阶线性时滞切换系统,利用λ范数研究了 PDα型分数阶迭代学习控制算法(FOILC)的收敛性,分析了在其控制下系统的跟踪性能,并对算法收敛的充分条件进行了严格的数学证明.理论分析表明,对于有限时间域内可任意切换的分数阶线性时滞切换系统,如果选取适当的学习增益矩阵和系统参数矩阵,随着迭代次数的...  相似文献   

2.
本文提出了一类高相对阶线性连续时间系统的间接迭代学习控制算法,该算法相对独立于系统局部控制器,因此可以应用于已有局部反馈控制器的系统.采用具有极点配置的H鲁棒控制器作为系统的内环控制,而在外环通过迭代学习控制调整内环系统的指令信号.通过引入拉氏变化,构建了迭代学习系统的2-D Roesser模型,推导了系统渐近收敛条件,并研究了存在有界初始条件偏移和迭代变化外部干扰时算法的鲁棒性能.最后,利用空中加油对接控制的算例进一步验证了算法的有效性.  相似文献   

3.
对具有时空白噪声的1阶双曲系统的稳定性进行了分析. 首先, 利用Fourier变换将系统转化成一般抽象形式的随机演化方程, 然后利用随机分析的方法给出了系统的均方指数稳定和几乎必然指数稳定的充分条件, 最后给出实例说明方法的有效性.  相似文献   

4.
分数阶迭代学习控制的收敛性分析   总被引:2,自引:0,他引:2       下载免费PDF全文
本文将传统的迭代学习控制时域和频域分析方法扩展到一类针对分数阶非线性系统的分数阶迭代学习控制时域分析方法.提出了一类新的分数阶迭代学习控制框架并简化了收敛条件,且证明了常增益情况下两类分数阶迭代学习控制收敛条件的等价性问题.该讨论进一步引出了如下两个结果:分数阶不确定系统的分数阶自适应迭代学习控制的可学习区域以及理想带阻型分数阶迭代学习控制的框架.上述结果均得到了仿真验证.  相似文献   

5.
孙明轩  李芝乐  朱胜 《自动化学报》2013,39(7):1027-1036
针对存在初态误差的情形, 提出多变量非线性系统的变阶采样迭代学习控制方法. 相对固定阶迭代学习算法, 变阶算法可有效降低跟踪误差. 对变阶采样迭代学习算法进行了收敛性分析, 推导出收敛充分条件. 给出了变阶学习的两种实现策略-DD (Direct division)和DIP (Division in phases)策略. 数值仿真表明, 基于DIP策略的变阶采样迭代学习算法在获得较高的控制精度的同时, 具有较快的收敛速度.  相似文献   

6.
基于向量图分析的分布参数系统迭代学习控制   总被引:3,自引:0,他引:3       下载免费PDF全文
针对一类不确定线性分布参数系统的迭代学习控制问题进行了讨论。基于向量图分析方法,提出了分布参数系统的一种新的迭代学习控制算法,该算法与现有算法不同,具有非线性形式。此外,利用 范数对所提新算法进行了完整的收敛性分析。  相似文献   

7.
研究了一类不确定非线性分布参数系统的迭代学习控制问题.基于几何分析方法,给出了分布参数系统一种新的具有自适应因子的非线性迭代学习控制算法.导出了新算法的收敛条件,并利用广义λ范数从理论上证明了新算法的收敛性.  相似文献   

8.
研究一类高阶分布参数系统的迭代学习控制问题,该类系统由退化高阶抛物型偏微分方程构成.根据系统所满足的性质,基于P型学习算法构建得到迭代学习控制器.利用压缩映射原理,证明该算法能使得系统的输出跟踪误差于L~2空间内沿迭代轴方向收敛于零.最后,仿真算例验证了算法的有效性.  相似文献   

9.
连续非线性系统的迭代学习控制方法*   总被引:8,自引:1,他引:7       下载免费PDF全文
本文根据误差收敛准则,提出了连续非线性系统的迭代学习控制算法,给出了PID型学习控制算法的收效条件,实际应用表明,该方法可以逼近预定的任意轨线。  相似文献   

10.
傅勤 《控制与决策》2016,31(1):114-122

针对一类非正则分布参数系统的迭代学习控制问题进行讨论, 该类分布参数系统由抛物型偏微分方程构成. 基于非正则系统的特点, 使用D型学习律构建得到迭代学习控制律, 并基于压缩映射原理, 证明得到输出跟踪误差在??2 范数意义下沿迭代轴方向的收敛性结论. 仿真算例表明了所提出结论的有效性.

  相似文献   

11.
This paper proposes two kinds of iterative learning control (ILC) schemes for a class of the distributed parameter systems based on sensor–actuator networks which can be described by hyperbolic partial differential equations. A D-type ILC algorithm is first considered and the convergent condition of the output error is obtained via the contraction mapping methodology. Then, the PD-type ILC algorithm is considered in this hyperbolic distributed parameter systems based on sensor–actuator networks. Finally, a cable equation with air and structural damping is given to illustrate the effectiveness of the proposed methods.  相似文献   

12.
受扰动2-D线性时变系统的迭代学习控制   总被引:1,自引:0,他引:1       下载免费PDF全文
利用2-D系统理论的Roesser模型,给出了受扰动的线性时变离散系统迭代学习控制(ILC)问题的一种解决方法.对系统所受的已知扰动,给出其学习律参数的选取范围以及仅经一次迭代就能实现输出完全跟踪期望轨迹的参数选取方法;对系统所受的未知扰动,首先对SISO系统提出其学习律存在的条件及参数选取方法,进而推广到MIMO系统中,提出MIMO系统学习律的参数选取方法.最后给出两个数值例子进一步说明所得结果的有效性.  相似文献   

13.
    
This study is concerned with the integrated system of a robot and a machine tool. The major task of robot is loading the workpiece to the machine tool for contour cutting. An iterative learning control (ILC) algorithm is proposed to improve the accuracy of the finished product. The proposed ILC is to modify the input command of the next machining cycle for both robot and machine tool to iteratively enhance the output accuracy of the robot and machine tool. The modified command is computed based on the current tracking/contour error. For the ILC of the robot, tracking error is considered as the control objective to reduce the tracking error of motion path, in particular, the error at the endpoint. Meanwhile, for the ILC of the machine tool, contour error is considered as the control objective to improve the contouring accuracy, which determines the quality of machining. In view of the complicated contour error model, the equivalent contour error instead of the actual contour error is taken as the control objective in this study. One challenge for the integrated system is that there exists an initial state error for the machine tool dynamics, violating the basic assumption of ILC. It will be shown in this study that the effects of initial state error can be significantly reduced by the ILC of the robot. The proposed ILC algorithm is verified experimentally on an integrated system of commercial robot and machine tool. The experimental results show that the proposed ILC can achieve more than 90% of reduction on both the RMS tracking error of the robot and the RMS contour error of the machine tool within six learning iterations. The results clearly validate the effectiveness of the proposed ILC for the integrated system.  相似文献   

14.
    
For a class of fractional‐order linear continuous‐time switched systems specified by an arbitrary switching rule, this paper proposes a PDα‐type fractional‐order iterative learning control algorithm. For systems disturbed by bounded measurement noise, the robustness of PDα‐type algorithm is first discussed in the iteration domain and the tracking performance is analyzed. Next, a sufficient condition for monotone convergence of the algorithm is studied when external noise is absent. The results of analysis and simulation illustrate the feasibility and effectiveness of the proposed control algorithm.  相似文献   

15.
    
This article investigates the two paradigms of norm optimal iterative learning control (NOILC) and parameter optimal iterative learning control (POILC) for multivariable (MIMO) ?-input, m-output linear discrete-time systems. The main result is a proof that, despite their algebraic and conceptual differences, they can be unified using linear quadratic multi-parameter optimisation techniques. In particular, whilst POILC has been naturally regarded as an approximation to NOILC, it is shown that the NOILC control law can be generated from a suitable choice of control law parameterisation and objective function in a multi-parameter MIMO POILC problem. The form of this equivalence is used to propose a new general approach to the construction of POILC problems for MIMO systems that approximates the solution of a given NOILC problem. An infinite number of such approximations exist. This great diversity is illustrated by the derivation of new convergent algorithms based on time interval and gradient partition that extend previously published work.  相似文献   

16.
本文在讨论了一般开环与闭环迭代学习控制的不足后,针对一类离散非线性系统,提出了新的开闭环PG型迭代学习控制律,给出了它的收敛性证明,仿真结果表明:开闭环P型迭代律优于单纯的开环或产才环P型迭代 律。  相似文献   

17.
Prediction-based Iterative Learning Control (PILC) is proposed in this paper for a class of time varying nonlinear uncertain systems. Convergence of PILC is analyzed and the uniform boundedness of tracking error is obtained in the presence of uncertainty and disturbances. It is shown that the learning algorithm not only guarantees the robustness, but also improves the learning rate despite the presence of disturbances and slowly varying desired trajectories in succeeding iterations. The effectiveness of the proposed PILC is presented by simulations.  相似文献   

18.
A filter-based iterative learning control (FILC) scheme is developed in this paper, which consists in a proportional–derivative (PD) feedback controller and a feedforward filter. Moreover, based on two-dimensional system theory, the stability of the FILC system is proven. The design criteria for a wavelet transform filter (WTF) – chosen as the feedforward filter – and the PD feedback controller are also given. Finally, using a pneumatic power active lower-limb orthosis (PPALO) as the controlled plant, the wavelet-based iterative learning control (WILC) implementation and the orchestration of a trajectory tracking control simulation are given in detail and the overall tracking performance is validated.  相似文献   

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